A048553 a(n+1) is next smallest prime beginning with a(n), initial prime is 11.

11, 113, 11311, 113111, 1131113, 11311133, 1131113353, 113111335313, 11311133531339, 113111335313399, 1131113353133993, 113111335313399321, 11311133531339932153, 1131113353133993215379, 113111335313399321537911

Offset: 0

Author

Patrick De Geest, May 15 1999

Keywords

• nonn
• base

Links

• Clark Kimberling, Table of n, a(n) for n = 0..498

Crossrefs

Cf. A048549-A048556, A261199-A261201, A261269-A261270.

Programs

Maple

f:= proc(n)
  local p, d;
  for d from 1 do
    p:= nextprime(n*10^d);
    if p < (n+1)*10^d then return p fi
  od
end proc:
A[1]:= 11:
for n from 2 to 20 do A[n]:= f(A[n-1]) od:
seq(A[n], n=1..20); # Robert Israel, Aug 16 2015

Mathematica

a = {11}; Do[k = 1; w = IntegerDigits[a[[n - 1]]];
While[CompositeQ@ FromDigits[Join[w, IntegerDigits@ k]], k += 2];
AppendTo[a, FromDigits[Join[w, IntegerDigits@ k]]], {n, 2, 15}]; a (* Michael De Vlieger, Sep 21 2015 *)